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# Is the Standard Deviation of Set S greater than Standard

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Manager
Joined: 24 Jun 2006
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Is the Standard Deviation of Set S greater than Standard [#permalink]  27 Sep 2006, 17:35
Is the Standard Deviation of Set S greater than Standard Deviation of Set T
1) The Range of Set S greater than Range of Set T
2) Mean of Set S is greater than Mean of Set T

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

I think the answer is A. The Standard Deviation of Set S is greater than Standard Deviation of Set T.
Manager
Joined: 12 Jul 2006
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I would say E.

(1) The fact that S's range is greater than T's range does not mean that S's SD is greater. Furthermore, you don't know the number of integers in either range. For example, set S could consist of (2, 4, 6, 8, 10) and set T could consist of (3, 7, 10). In this case, the range of S > T but the SD of T is > S.

(2) Insuff.

(1) and (2) together are also insufficient.
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Intern
Joined: 28 Sep 2006
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Kudos [?]: 0 [0], given: 0

I think the answer is E as well.
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